JEE Advanced Mathematics question

MathematicsSolution of TrianglesJEE Advanced

Not in JEE syllabus

If in a , cm, cm and the length of the perpendicular from to the side is 2 cm then the number of solutions of the triangle is

Answer: (C)

Solution

Let be the foot of the perpendicular from to line , with . Then

BD==2Missing argument for \sqrt\sqrt3, CD==Missing argument for \sqrt\sqrt5 .

and lie on a line through . They can be on opposite sides of or on the same side: - **Opposite sides:** . Then

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Question ID VK-110087